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摘要
The aim of the paper is to estimate the density functions or distribution functions measured by Wasserstein metric, a typical kind of statistical distances, which is usually required in the statistical learning. Based on the classical Bernstein approximation, a scheme is presented. To get the error estimates of the scheme, the problem turns to estimating the L (1) norm of the Bernstein approximation for monotone C (-1) functions, which was rarely discussed in the classical approximation theory. Finally, we get a probability estimate by the statistical distance.
- 出版日期2015-6
- 单位复旦大学
